A quantitative guessing geodesics theorem
Abstract
In this paper, we present a quantitative version of the guessing geodesics criterion, which is a well-known theorem that provides a set of conditions to prove hyperbolicity of a given metric space. This version adds to the existing result by determining an explicit estimate of the hyperbolicity constant. As a sample application of this result, we estimate the hyperbolicity constant for a particular hyperbolic model of [Formula: see text] spaces known as the curtain model.
Fields of Study & Subjects
Robotic Mechanisms and Dynamics
Publication details
- Journal / source
- Journal of Topology and Analysis
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–23
- Publication date
- 7 August 2026
- Language
- EN